21340004517 has 48 divisors (see below), whose sum is σ = 33692895600. Its totient is φ = 12936029184.

The previous prime is 21340004513. The next prime is 21340004531. The reversal of 21340004517 is 71540004312.

21340004517 is a `hidden beast` number, since 213 + 400 + 0 + 45 + 1 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 688590081 + 20651414436 = 26241^2 + 143706^2 .

It is not a de Polignac number, because 21340004517 - 2² = 21340004513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21340004513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13229203 + ... + 13230815.

It is an arithmetic number, because the mean of its divisors is an integer number (701935325).

Almost surely, 2^21340004517 is an apocalyptic number.

It is an amenable number.

21340004517 is a deficient number, since it is larger than the sum of its proper divisors (12352891083).

21340004517 is a wasteful number, since it uses less digits than its factorization.

21340004517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 21340004517 its reverse (71540004312), we get a palindrome (92880008829).

The spelling of 21340004517 in words is "twenty-one billion, three hundred forty million, four thousand, five hundred seventeen".